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134134240 = 2554717837
BaseRepresentation
bin1111111111010…
…11100111100000
3100100101201120211
413333223213200
5233314243430
621150543504
73216056632
oct777534740
9310351524
10134134240
1169796049
1238b07b94
1321a35496
1413b58a52
15bb9872a
hex7feb9e0

134134240 has 48 divisors (see below), whose sum is σ = 323652672. Its totient is φ = 52509184.

The previous prime is 134134223. The next prime is 134134249. The reversal of 134134240 is 42431431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134134249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 16438.

It is an arithmetic number, because the mean of its divisors is an integer number (6742764).

Almost surely, 2134134240 is an apocalyptic number.

134134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161826336).

134134240 is an abundant number, since it is smaller than the sum of its proper divisors (189518432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134134240 is a wasteful number, since it uses less digits than its factorization.

134134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17899 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134134240 is about 11581.6337362222. The cubic root of 134134240 is about 511.8938174988.

Adding to 134134240 its reverse (42431431), we get a palindrome (176565671).

The spelling of 134134240 in words is "one hundred thirty-four million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 17837 35674 71348 89185 142696 178370 285392 356740 570784 713480 838339 1426960 1676678 2853920 3353356 4191695 6706712 8383390 13413424 16766780 26826848 33533560 67067120 134134240